The Complex Exponential

This Demonstration plots the complex exponential . In the starting orientation ("above"), increases from -5 on the left to 5 on the right. You are looking down on the Argand plane along the positive imaginary axis—turn on the "Argand plane" checkbox to see it. (Note: animations may be jerky with this option on.) The real and imaginary parts of are controlled by the real and imaginary sliders. In the starting position, , and the plot is a left-handed helix. The slider controls the position of the gray ball.